We develop an asymptotic likelihood ratio test for multivariate lognormal data with a point mass at zero in each dimension. The test generalizes Wilks' lambda and Hotelling T-test to the case of semicontinuous data. Simulations show that the resulting test statistic attains the nominal Type I error rate and has good power for reasonable alternatives. We conclude with an application to exploration of ecological niches of trees of South Africa.
Farcomeni, A. (2016). A MANOVA test for multivariate lognormal observations with a spike at zero, with application to ecological niches of South Africa. BIOMETRICAL JOURNAL, 58(2), 320-330 [10.1002/bimj.201400085].
A MANOVA test for multivariate lognormal observations with a spike at zero, with application to ecological niches of South Africa
FARCOMENI, Alessio
2016-01-01
Abstract
We develop an asymptotic likelihood ratio test for multivariate lognormal data with a point mass at zero in each dimension. The test generalizes Wilks' lambda and Hotelling T-test to the case of semicontinuous data. Simulations show that the resulting test statistic attains the nominal Type I error rate and has good power for reasonable alternatives. We conclude with an application to exploration of ecological niches of trees of South Africa.| File | Dimensione | Formato | |
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